Suppose a company has a revenue stream that can be modeled by R(t) = in millions of dollars, further suppose that costs and expenses can be modeled by C(t) = - 0.017t“ + 0.272t + 0.085, where t is the number of years past 1992. - 0.026t + 0.728t + 0.129 Profit = Revenue - Costs The profit function P(t) : The year in which the maximum profit occurs is (If needed, round to the nearest tenth of a year.) The maximum profit is million dollars (If needed, round to three decimal places.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Suppose a company has a revenue stream that can be modeled by R(t)
in millions of dollars, further suppose that costs and expenses can be modeled by
C(t) = - 0.017t + 0.272t + 0.085, where t is the number of years past 1992.
0.026t2 + 0.728t + 0.129
Profit = Revenue - Costs
The profit function P(t) :
The year in which the maximum profit occurs is
(If needed, round to the nearest tenth of a
year.)
The maximum profit is
million dollars (If needed, round to three decimal places.)
Transcribed Image Text:Suppose a company has a revenue stream that can be modeled by R(t) in millions of dollars, further suppose that costs and expenses can be modeled by C(t) = - 0.017t + 0.272t + 0.085, where t is the number of years past 1992. 0.026t2 + 0.728t + 0.129 Profit = Revenue - Costs The profit function P(t) : The year in which the maximum profit occurs is (If needed, round to the nearest tenth of a year.) The maximum profit is million dollars (If needed, round to three decimal places.)
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